Mathematics: Question 7(Multiple Choice Worth 5 points) (04.07A LC) Which equation does the graph below represent? 15 12 9 6 3 2 3 4 5 -5 -4 -3 -2 -1 01 31 -6 .9 -12 -15 y = y = -3x y = 3x y = x

Question 7(Multiple Choice Worth 5 points) (04.07A

bri663

17.03.2022

y = -3x

Step-by-step explanation:

Given

The attached graph

Required

Determine the graph equation

To do this, we pick any 3 corresponding points of x and y

(x_1,y_1) = (0,0)

(x_2,y_2) = (2,-6)

(x_3,y_3) = (-4,12)

The equation can then be solved using linear interpolation as follows:

$\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}$

This gives:

$\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}$

$\frac{y-12}{x+4} = \frac{-6 -0}{2-0}$

$\frac{y-12}{x+4} = \frac{-6}{2}$

$\frac{y-12}{x+4} = -3$

Multiply both sides by x + 4

$(x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)$

y - 12 = -3 *(x + 4)

Open bracket

y - 12 = -3x -12

Add 12 to both sides

y - 12+12 = -3x -12+12

y = -3x

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joshtrice5879

25.08.2020

D. 100.

Step-by-step explanation:

-m + 0.02 + 2.1m = -1.45 -4.81m

Multiply by 100:

-100m + 2 + 210m = -145 - 481m

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